Order of Operations (BODMAS) Quiz

Master the BODMAS rule with this fun math quiz. Solve expressions using brackets, exponents, and operations in the right order.

Welcome to the BODMAS Quiz!

Test your understanding of the order of operations with randomly generated math problems.

BODMAS stands for:

  • Brackets
  • Orders (exponents/roots)
  • Division and Multiplication (left to right)
  • Addition and Subtraction (left to right)

Configure your quiz settings on the left and click "Start Quiz" when ready! If you need a refresher on basic calculations, try our basic addition drill first.

BODMAS Examples

Expression Correct Answer Explanation
2 + 3 × 4 14 Multiply before adding (3×4=12, then 2+12=14)
(2 + 3) × 4 20 Brackets first (2+3=5, then 5×4=20)
2 + 3 × 2² 14 Exponents first (2²=4), then multiplication (3×4=12), then addition (2+12=14)
6 ÷ 2 × 3 9 Division/multiplication from left to right (6÷2=3, then 3×3=9)

Your Learning Journey

This quiz helps you master one of mathematics' most fundamental concepts: the order of operations. Whether you call it BODMAS, PEMDAS, or BIDMAS, getting this right is essential for success in algebra, calculus, and everyday calculations. For a deeper dive into algebraic thinking, try our introductory algebra quiz once you're comfortable here.

1 What You're Testing
  • Understanding of operation hierarchy
  • Application of brackets and parentheses
  • Working with exponents and roots
  • Left-to-right execution of equal precedence operations
  • Mental calculation accuracy
2 Who Should Take This
  • Students preparing for math exams
  • Adults refreshing foundational math skills
  • Teachers looking for practice examples
  • Professionals using calculations in their work
  • Anyone solving multi-step problems
Why This Matters

Order of operations isn't just a classroom exercise. It's used in programming, engineering, finance, and scientific research. A single misplaced operation can lead to dramatically different results in real-world applications. Mastering this also prepares you for working with negative numbers, where order becomes even more critical.

During the Quiz: Strategy Guide

Approach Each Question
  • Scan for brackets first
  • Identify exponents if present
  • Note division/multiplication signs
  • Check addition/subtraction last
  • Verify your mental steps
Time Management
  • Don't rush—accuracy over speed
  • Use the timer as a guide, not pressure
  • Skip and return if truly stuck
  • Medium difficulty: aim for 60-90 seconds per question
  • Hard questions may need 2+ minutes
Answer Selection
  • Calculate before looking at options
  • Eliminate obviously wrong answers
  • Watch for common mistakes in distractors
  • Double-check decimal placement
  • Trust your systematic approach
Common Learner Mistakes
  • Doing addition before multiplication
  • Ignoring nested brackets
  • Forgetting left-to-right rule for division/multiplication
  • Mishandling negative numbers
  • Overlooking exponents
  • Confusing similar-looking expressions

Understanding Your Results

90-100%

Mastery Level: You have exceptional understanding. Consider tutoring others or moving to advanced applications like our advanced order-of-operations challenges.

70-89%

Proficient: Solid foundation. Focus on speed and tackling harder variations.

Below 70%

Development Area: Review fundamental rules. Practice with simpler problems first using our basic addition and multiplication tables quizzes.

Next Learning Steps
  1. Review explanations for any incorrect answers
  2. Practice specific weaknesses (brackets, exponents, etc.)
  3. Increase difficulty gradually once scoring 80%+
  4. Apply to real problems like recipe scaling or budget calculations
  5. Explore related topics like algebraic expressions or math word problems
Suggested Practice Resources
  • Step-by-step order of operations workbooks
  • Visual tutorials demonstrating BODMAS/PEMDAS
  • Interactive puzzle apps focusing on operation order
  • Printable worksheets with answer keys
  • Study groups explaining reasoning aloud

Accessibility & Experience Notes

Device Compatibility
  • Fully responsive on phones, tablets, and desktops
  • Touch-friendly answer buttons
  • Clear typography for readability
  • Color-blind friendly feedback indicators
Cognitive Considerations
  • Break complex problems into steps
  • Use scratch paper alongside digital quiz
  • Adjust difficulty to match current ability
  • Take breaks between quiz attempts

Fair Play & Accuracy Notice: This quiz generates problems algorithmically. While we strive for mathematical accuracy, always verify critical calculations through multiple methods. The explanations provide learning guidance, but different valid approaches may exist.

Content Updated: August 2025 – Regular review ensures relevance and accuracy.

Final Thought

Remember: mastery comes through consistent practice, not perfection on the first try. Each attempt builds your mathematical intuition. Whether you're refreshing basics or pushing to expert level, you're developing skills that apply far beyond this quiz.